Details

analyze39.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	50%	50%	2
0%	50%	50%	3
25%	25%	50%	4
25%	25%	50%	5
31.2%	18.7%	50%	6
34.3%	15.6%	50%	7
39%	10.9%	50%	8
40.6%	8.6%	50.8%	9
42.9%	5.9%	51.2%	10
43.7%	4.5%	51.8%	11
44.9%	3%	52.1%	12
45.3%	2.3%	52.4%	13
45.9%	1.5%	52.6%	14

sample22.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
0.0ms	6×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	14
1	27	14

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.2b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (* x 9.0)))
0.2b	(* 3.0 (sqrt x))
0.2b	(/ y (* 3.0 (sqrt x)))
0.5b	(/ 1.0 (* x 9.0))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cbrt-cube`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt`
6×	`pow1` `times-frac` `associate-r` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `sqrt-prod`
3×	`associate-l` `prod-exp` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/r*` `div-inv` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 77

Calls

4 calls:

5.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
5.0ms	(* 3.0 (sqrt x))
5.0ms	(/ y (* 3.0 (sqrt x)))
4.0ms	(/ 1.0 (* x 9.0))

series18.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
4.0ms	(* 3.0 (sqrt x))
9.0ms	(/ y (* 3.0 (sqrt x)))
2.0ms	(/ 1.0 (* x 9.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5322	695

prune143.0ms

Filtered

64 candidates to 89 candidates (-39.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	81	8	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	8	90

Merged error: 0.0b

Counts

90 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ (/ 1.0 x) 9.0))
0.2b	(* 3.0 (sqrt x))
0.2b	(/ y (* 3.0 (sqrt x)))
0.3b	(/ (/ 1.0 x) 9.0)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

81×	`times-frac`
64×	`add-sqr-sqrt`
53×	`*-un-lft-identity`
51×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
6×	`pow1` `associate-r` `div-inv` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`associate-/r*` `sqrt-prod`
3×	`associate-l` `difference-of-squares`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `flip--` `associate-/l/` `distribute-lft-out--`

Counts

4 → 128

Calls

4 calls:

15.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
5.0ms	(* 3.0 (sqrt x))
5.0ms	(/ y (* 3.0 (sqrt x)))
6.0ms	(/ (/ 1.0 x) 9.0)

series18.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
4.0ms	(* 3.0 (sqrt x))
9.0ms	(/ y (* 3.0 (sqrt x)))
2.0ms	(/ (/ 1.0 x) 9.0)

simplify51.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5089	1366

prune231.0ms

Filtered

111 candidates to 140 candidates (-26.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	138	2	140
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	139	9	148

Merged error: 0.0b

Counts

148 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (* x 9.0)))
0.2b	(/ y (sqrt x))
0.3b	(* (/ 1 3.0) (/ y (sqrt x)))
0.5b	(/ 1.0 (* x 9.0))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

70×	`add-sqr-sqrt`
60×	`times-frac`
46×	`*-un-lft-identity`
41×	`add-cube-cbrt`
33×	`add-exp-log`
24×	`sqrt-prod`
23×	`add-cbrt-cube`
22×	`associate-r`
13×	`associate-l`
11×	`div-exp`
9×	`prod-exp` `unswap-sqr`
7×	`cbrt-undiv` `associate-/r*`
6×	`pow1` `associate-/l*` `add-log-exp`
5×	`cbrt-unprod`
4×	`div-inv`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`frac-times` `sub-neg` `flip3--` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 141

Calls

4 calls:

5.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
4.0ms	(/ y (sqrt x))
15.0ms	(* (/ 1 3.0) (/ y (sqrt x)))
4.0ms	(/ 1.0 (* x 9.0))

series21.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
7.0ms	(/ y (sqrt x))
9.0ms	(* (/ 1 3.0) (/ y (sqrt x)))
2.0ms	(/ 1.0 (* x 9.0))

simplify52.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4949	1317
1	4949	1317

prune178.0ms

Filtered

101 candidates to 153 candidates (-51.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	151	2	153
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	154	8	162

Merged error: 0b

Counts

162 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (* x 9.0)))
0.3b	(* (/ y 3.0) (/ 1 (sqrt x)))
0.3b	(/ 1 (sqrt x))
0.5b	(/ 1.0 (* x 9.0))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

72×	`add-sqr-sqrt`
61×	`times-frac`
47×	`*-un-lft-identity`
41×	`add-cube-cbrt`
35×	`add-exp-log`
25×	`sqrt-prod`
23×	`add-cbrt-cube`
22×	`associate-r`
13×	`associate-l`
12×	`div-exp`
10×	`unswap-sqr`
9×	`prod-exp`
8×	`pow1`
7×	`cbrt-undiv` `associate-/r*`
6×	`associate-/l*` `add-log-exp`
5×	`cbrt-unprod`
4×	`div-inv`
3×	`rec-exp` `pow-flip` `1-exp`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `sub-neg` `flip3--` `sqrt-pow1` `pow1/2` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `un-div-inv` `*-commutative` `flip--` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 149

Calls

4 calls:

5.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
14.0ms	(* (/ y 3.0) (/ 1 (sqrt x)))
4.0ms	(/ 1 (sqrt x))
4.0ms	(/ 1.0 (* x 9.0))

series21.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
9.0ms	(* (/ y 3.0) (/ 1 (sqrt x)))
7.0ms	(/ 1 (sqrt x))
2.0ms	(/ 1.0 (* x 9.0))

simplify51.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4989	1315
1	4989	1315

prune158.0ms

Filtered

97 candidates to 161 candidates (-66.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	160	1	161
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	161	8	169

Merged error: 0b

Counts

169 → 8

regimes108.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	16
1	17	16

end0.0ms

analyze42.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	50%	50%	2
0%	50%	50%	3
25%	25%	50%	4
25%	25%	50%	5
31.2%	18.7%	50%	6
34.3%	15.6%	50%	7
39%	10.9%	50%	8
40.6%	8.6%	50.8%	9
42.9%	5.9%	51.2%	10
43.7%	4.5%	51.8%	11
44.9%	3%	52.1%	12
45.3%	2.3%	52.4%	13
45.9%	1.5%	52.6%	14

sample479.0ms

Algorithm

intervals

Results

346.0ms	8000×	body	80	valid
4.0ms	101×	body	80	invalid

Details

analyze39.0ms

sample22.0ms

simplify3.0ms

prune6.0ms

localize9.0ms

rewrite20.0ms

series18.0ms

simplify44.0ms

prune143.0ms

localize9.0ms

rewrite36.0ms

series18.0ms

simplify51.0ms

prune231.0ms

localize10.0ms

rewrite34.0ms

series21.0ms

simplify52.0ms

prune178.0ms

localize13.0ms

rewrite32.0ms

series21.0ms

simplify51.0ms

prune158.0ms

regimes108.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze42.0ms

sample479.0ms

Profiling